摘要
建立了厚/薄板振动分析的样条无单元法计算格式,对整个求解区域仅需少量的结点离散,无需单元分划,把挠度和剪应变作为全局的场变量,采用双向三次B样条基函数乘积的线性组合构造场函数,可以充分发挥无单元法及三次B样条基函数的优点。计算结果表明该方法适用于不同厚度,不同边界的板的动力特性分析,无剪切闭锁现象,且精度高,收敛快,未知量少,程序简便。
Abstract
In this paper, the spline element-free method computation format for the free vibration of thick/thin plate is established based on Mindlin-Reissner theory, which takes deflection and shear strains as the independent field variables. The field functions are formatted by the linear combination of double B-spline basis functions. With no meshing, only a few dispersed knots are needed, this method can make full use of the advantages of element-free method and B-spline function. Numerical results show that this method has many advantages such as high precision, rapid convergence, less degree of freedom, no shear locking phenomenon, easy to be programmed, applicable for the vibration analysis of the plate with various boundaries and various thickness.
关键词
厚/薄板 /
样条无单元法 /
自由振动 /
固有频率
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Key words
thick/thin plate /
spline element-free method /
free vibration /
frequency.
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李秀梅;吴 锋;秦 荣;黄哲华 .
厚/薄板振动分析的样条无单元法[J]. 振动与冲击, 2010, 29(2): 107-110
LI Xiu-mei;WU Feng;QIN Rong;HUANG Zhe-hua .
SPLINE ELEMENT-FREE METHOD FOR THICK/THIN PLATE VIBRATION ANALYSIS[J]. Journal of Vibration and Shock, 2010, 29(2): 107-110
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脚注
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